96961 has 4 divisors (see below), whose sum is σ = 99072. Its totient is φ = 94852.

The previous prime is 96959. The next prime is 96973. The reversal of 96961 is 16969.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 16969 = 71 ⋅239.

It is a cyclic number.

It is not a de Polignac number, because 96961 - 2¹ = 96959 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (96911) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 985 + ... + 1078.

It is an arithmetic number, because the mean of its divisors is an integer number (24768).

2⁹⁶⁹⁶¹ is an apocalyptic number.

It is an amenable number.

96961 is a deficient number, since it is larger than the sum of its proper divisors (2111).

96961 is a wasteful number, since it uses less digits than its factorization.

96961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2110.

The product of its digits is 2916, while the sum is 31.

The square root of 96961 is about 311.3856130267. The cubic root of 96961 is about 45.9408502501.

The spelling of 96961 in words is "ninety-six thousand, nine hundred sixty-one".